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Quick Answer. It takes 9 to 10 hours to cook a 3-pound beef top round roast in a Crock-Pot at the low setting. The roast only requires about 5 hours of cooking time at the high setting, but this tough cut of meat isn't recommended for cooking on the high setting. The faster cook time and higher temperature doesn't break down the tough meat fibers and leaves the roast tough.
Best Answer: A roast is typically 20-25 minutes per pound at 350 degrees. So an average 3 pound roast will be around an hour and a half. Never even heard anybody cook a pot roast over a open flame or in a dutch oven. I personally like the cross-rib roast or the shoulder claud more than a pot roast. I guess you could cook those in a dutch oven as long as you had enough water to cover the meat while cooking.